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Finding the Third Proportional to 19,806 and 43,028

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Solution

The third proportional to 19,806 and 43,028 is: 93,477.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,806 : 43,028 = 43,028 : x
  2. Step 2: Convert to fraction form
    19,806/43,028 = 43,028/x
  3. Step 3: Cross multiply
    19,806x = 43,028 × 43,028
  4. Step 4: Simplify right side
    19,806x = 1,851,408,784
  5. Step 5: Solve for x
    x = 1,851,408,784/19,806
  6. Step 6: Final answer
    x = 93,477.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.